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112011002010200 = 235211334991416473
BaseRepresentation
bin11001011101111110010111…
…111111000101101001011000
3112200121010222022121122210102
4121131332113333011221120
5104140142013003311300
61034121051032034532
732410346022542246
oct3135762777055130
9480533868548712
10112011002010200
1132765665572097
1210690595b32a48
134a66790cb5127
141d9350ba65796
15ce39e352a0d5
hex65df97fc5a58

112011002010200 has 96 divisors (see below), whose sum is σ = 262805503590000. Its totient is φ = 44395178741760.

The previous prime is 112011002010097. The next prime is 112011002010209. The reversal of 112011002010200 is 2010200110211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011002010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78369164 + ... + 79785636.

Almost surely, 2112011002010200 is an apocalyptic number.

112011002010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112011002010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131402751795000).

112011002010200 is an abundant number, since it is smaller than the sum of its proper divisors (150794501579800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112011002010200 is a wasteful number, since it uses less digits than its factorization.

112011002010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420101 (or 1420092 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112011002010200 its reverse (2010200110211), we get a palindrome (114021202120411).

The spelling of 112011002010200 in words is "one hundred twelve trillion, eleven billion, two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 3499 4520 5650 6998 11300 13996 17495 22600 27992 34990 69980 87475 139960 174950 349900 395387 699800 790774 1416473 1581548 1976935 2832946 3163096 3953870 5665892 7082365 7907740 9884675 11331784 14164730 15815480 19769350 28329460 35411825 39538700 56658920 70823650 79077400 141647300 160061449 283294600 320122898 640245796 800307245 1280491592 1600614490 3201228980 4001536225 4956239027 6402457960 8003072450 9912478054 16006144900 19824956108 24781195135 32012289800 39649912216 49562390270 99124780540 123905975675 198249561080 247811951350 495623902700 560055010051 991247805400 1120110020102 2240220040204 2800275050255 4480440080408 5600550100510 11201100201020 14001375251275 22402200402040 28002750502550 56005501005100 112011002010200